Subharmonic functions and surfaces of negative curvature

E. F. Beckenbach, Tibor Radó

Type: Article

Publication Date: 1933-01-01

Citations: 88

DOI: https://doi.org/10.1090/s0002-9947-1933-1501708-x

Abstract

E = Xa2 + yu2 + Zu, F = xuxv + yuyv + Zuzv, G = y + Yv2 + Z, and W2 = EG-F 2. As is usual in differential geometry, we assume throughout this paper that W 5? 0 for the representations to be considered. Suppose now that the surface is given in an isothermic representation; that is to say, suppose that E = G, F = 0. Put E = G =X(u, v). The assumption W 0 is then equivalent to X(u, v) >0. The above formula for K reduces to the form

Locations

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